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Finding the Fourth Proportional to 92,640, 127,948.80 and 62,780.16

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Solution

The fourth proportional to 92,640, 127,948.80 and 62,780.16 is: 86,708.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,640 : 127,948.80 = 62,780.16 : x
  2. Step 2: Convert to fraction form
    92,640/127,948.80 = 62,780.16/x
  3. Step 3: Cross multiply
    92,640x = 127,948.80 × 62,780.16
  4. Step 4: Simplify right side
    92,640x = 8,032,646,135.81
  5. Step 5: Solve for x
    x = 8,032,646,135.81/92,640
  6. Step 6: Final answer
    x = 86,708.18

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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.