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Finding the Fourth Proportional to 77,002.40, 115,492.80 and 24,417.20

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Solution

The fourth proportional to 77,002.40, 115,492.80 and 24,417.20 is: 36,622.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,002.40 : 115,492.80 = 24,417.20 : x
  2. Step 2: Convert to fraction form
    77,002.40/115,492.80 = 24,417.20/x
  3. Step 3: Cross multiply
    77,002.40x = 115,492.80 × 24,417.20
  4. Step 4: Simplify right side
    77,002.40x = 2,820,010,796.16
  5. Step 5: Solve for x
    x = 2,820,010,796.16/77,002.40
  6. Step 6: Final answer
    x = 36,622.38

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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.