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Finding the Fourth Proportional to 157,221.64, 216,854.71 and 152,014.15

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Solution

The fourth proportional to 157,221.64, 216,854.71 and 152,014.15 is: 209,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,221.64 : 216,854.71 = 152,014.15 : x
  2. Step 2: Convert to fraction form
    157,221.64/216,854.71 = 152,014.15/x
  3. Step 3: Cross multiply
    157,221.64x = 216,854.71 × 152,014.15
  4. Step 4: Simplify right side
    157,221.64x = 32,964,984,414.15
  5. Step 5: Solve for x
    x = 32,964,984,414.15/157,221.64
  6. Step 6: Final answer
    x = 209,672.06

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1.5x scale

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.