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Finding the Fourth Proportional to 125,340.16, 172,968.96 and 77,584

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Solution

The fourth proportional to 125,340.16, 172,968.96 and 77,584 is: 107,065.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,340.16 : 172,968.96 = 77,584 : x
  2. Step 2: Convert to fraction form
    125,340.16/172,968.96 = 77,584/x
  3. Step 3: Cross multiply
    125,340.16x = 172,968.96 × 77,584
  4. Step 4: Simplify right side
    125,340.16x = 13,419,623,792.64
  5. Step 5: Solve for x
    x = 13,419,623,792.64/125,340.16
  6. Step 6: Final answer
    x = 107,065.63

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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.