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Finding the Fourth Proportional to 77,280, 106,646.40 and 43,746

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Solution

The fourth proportional to 77,280, 106,646.40 and 43,746 is: 60,369.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,280 : 106,646.40 = 43,746 : x
  2. Step 2: Convert to fraction form
    77,280/106,646.40 = 43,746/x
  3. Step 3: Cross multiply
    77,280x = 106,646.40 × 43,746
  4. Step 4: Simplify right side
    77,280x = 4,665,353,414.40
  5. Step 5: Solve for x
    x = 4,665,353,414.40/77,280
  6. Step 6: Final answer
    x = 60,369.48

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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.