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Finding the Fourth Proportional to 157,407.47, 217,215.99 and 85,785.96

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Solution

The fourth proportional to 157,407.47, 217,215.99 and 85,785.96 is: 118,381.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,407.47 : 217,215.99 = 85,785.96 : x
  2. Step 2: Convert to fraction form
    157,407.47/217,215.99 = 85,785.96/x
  3. Step 3: Cross multiply
    157,407.47x = 217,215.99 × 85,785.96
  4. Step 4: Simplify right side
    157,407.47x = 18,634,080,714.49
  5. Step 5: Solve for x
    x = 18,634,080,714.49/157,407.47
  6. Step 6: Final answer
    x = 118,381.17

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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.