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Finding the Fourth Proportional to 153,920, 230,711.88 and 97,785.20

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Solution

The fourth proportional to 153,920, 230,711.88 and 97,785.20 is: 146,570.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,920 : 230,711.88 = 97,785.20 : x
  2. Step 2: Convert to fraction form
    153,920/230,711.88 = 97,785.20/x
  3. Step 3: Cross multiply
    153,920x = 230,711.88 × 97,785.20
  4. Step 4: Simplify right side
    153,920x = 22,560,207,328.18
  5. Step 5: Solve for x
    x = 22,560,207,328.18/153,920
  6. Step 6: Final answer
    x = 146,570.99

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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.