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Finding the Fourth Proportional to 152,157,613, 209,977,505.96 and 86,968,916.68

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Solution

The fourth proportional to 152,157,613, 209,977,505.96 and 86,968,916.68 is: 120,017,105.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,157,613 : 209,977,505.96 = 86,968,916.68 : x
  2. Step 2: Convert to fraction form
    152,157,613/209,977,505.96 = 86,968,916.68/x
  3. Step 3: Cross multiply
    152,157,613x = 209,977,505.96 × 86,968,916.68
  4. Step 4: Simplify right side
    152,157,613x = 18,261,516,220,509,444
  5. Step 5: Solve for x
    x = 18,261,516,220,509,444/152,157,613
  6. Step 6: Final answer
    x = 120,017,105.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.