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Finding the Fourth Proportional to 157,497.46, 217,341.76 and 85,878.88

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Solution

The fourth proportional to 157,497.46, 217,341.76 and 85,878.88 is: 118,510.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,497.46 : 217,341.76 = 85,878.88 : x
  2. Step 2: Convert to fraction form
    157,497.46/217,341.76 = 85,878.88/x
  3. Step 3: Cross multiply
    157,497.46x = 217,341.76 × 85,878.88
  4. Step 4: Simplify right side
    157,497.46x = 18,665,066,926.03
  5. Step 5: Solve for x
    x = 18,665,066,926.03/157,497.46
  6. Step 6: Final answer
    x = 118,510.27

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