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Finding the Fourth Proportional to 153,900.80, 230,678.40 and 65,139.20

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Solution

The fourth proportional to 153,900.80, 230,678.40 and 65,139.20 is: 97,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,900.80 : 230,678.40 = 65,139.20 : x
  2. Step 2: Convert to fraction form
    153,900.80/230,678.40 = 65,139.20/x
  3. Step 3: Cross multiply
    153,900.80x = 230,678.40 × 65,139.20
  4. Step 4: Simplify right side
    153,900.80x = 15,026,206,433.28
  5. Step 5: Solve for x
    x = 15,026,206,433.28/153,900.80
  6. Step 6: Final answer
    x = 97,635.66

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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.