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Finding the Fourth Proportional to 61,580.16, 84,960 and 34,718.40

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Solution

The fourth proportional to 61,580.16, 84,960 and 34,718.40 is: 47,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,580.16 : 84,960 = 34,718.40 : x
  2. Step 2: Convert to fraction form
    61,580.16/84,960 = 34,718.40/x
  3. Step 3: Cross multiply
    61,580.16x = 84,960 × 34,718.40
  4. Step 4: Simplify right side
    61,580.16x = 2,949,675,264
  5. Step 5: Solve for x
    x = 2,949,675,264/61,580.16
  6. Step 6: Final answer
    x = 47,899.77

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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.