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Finding the Fourth Proportional to 157,124.51, 216,829.99 and 85,503.31

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Solution

The fourth proportional to 157,124.51, 216,829.99 and 85,503.31 is: 117,993.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,124.51 : 216,829.99 = 85,503.31 : x
  2. Step 2: Convert to fraction form
    157,124.51/216,829.99 = 85,503.31/x
  3. Step 3: Cross multiply
    157,124.51x = 216,829.99 × 85,503.31
  4. Step 4: Simplify right side
    157,124.51x = 18,539,681,852.27
  5. Step 5: Solve for x
    x = 18,539,681,852.27/157,124.51
  6. Step 6: Final answer
    x = 117,993.57

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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.