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Finding the Fourth Proportional to 98,320, 135,693.12 and 55,884.91

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Solution

The fourth proportional to 98,320, 135,693.12 and 55,884.91 is: 77,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,320 : 135,693.12 = 55,884.91 : x
  2. Step 2: Convert to fraction form
    98,320/135,693.12 = 55,884.91/x
  3. Step 3: Cross multiply
    98,320x = 135,693.12 × 55,884.91
  4. Step 4: Simplify right side
    98,320x = 7,583,197,798.82
  5. Step 5: Solve for x
    x = 7,583,197,798.82/98,320
  6. Step 6: Final answer
    x = 77,127.72

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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.