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Finding the Fourth Proportional to 157,909.52, 217,975.56 and 97,490

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Solution

The fourth proportional to 157,909.52, 217,975.56 and 97,490 is: 134,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,909.52 : 217,975.56 = 97,490 : x
  2. Step 2: Convert to fraction form
    157,909.52/217,975.56 = 97,490/x
  3. Step 3: Cross multiply
    157,909.52x = 217,975.56 × 97,490
  4. Step 4: Simplify right side
    157,909.52x = 21,250,437,344.40
  5. Step 5: Solve for x
    x = 21,250,437,344.40/157,909.52
  6. Step 6: Final answer
    x = 134,573.50

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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.