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Finding the Fourth Proportional to 116,220.32, 160,352.16 and 70,905.68

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Solution

The fourth proportional to 116,220.32, 160,352.16 and 70,905.68 is: 97,830.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,220.32 : 160,352.16 = 70,905.68 : x
  2. Step 2: Convert to fraction form
    116,220.32/160,352.16 = 70,905.68/x
  3. Step 3: Cross multiply
    116,220.32x = 160,352.16 × 70,905.68
  4. Step 4: Simplify right side
    116,220.32x = 11,369,878,944.27
  5. Step 5: Solve for x
    x = 11,369,878,944.27/116,220.32
  6. Step 6: Final answer
    x = 97,830.39

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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.