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Finding the Fourth Proportional to 157,397, 235,966.80 and 73,209.64

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Solution

The fourth proportional to 157,397, 235,966.80 and 73,209.64 is: 109,754.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,397 : 235,966.80 = 73,209.64 : x
  2. Step 2: Convert to fraction form
    157,397/235,966.80 = 73,209.64/x
  3. Step 3: Cross multiply
    157,397x = 235,966.80 × 73,209.64
  4. Step 4: Simplify right side
    157,397x = 17,275,044,479.95
  5. Step 5: Solve for x
    x = 17,275,044,479.95/157,397
  6. Step 6: Final answer
    x = 109,754.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.