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Finding the Fourth Proportional to 98,518.86, 135,957.06 and 56,080.13

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Solution

The fourth proportional to 98,518.86, 135,957.06 and 56,080.13 is: 77,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,518.86 : 135,957.06 = 56,080.13 : x
  2. Step 2: Convert to fraction form
    98,518.86/135,957.06 = 56,080.13/x
  3. Step 3: Cross multiply
    98,518.86x = 135,957.06 × 56,080.13
  4. Step 4: Simplify right side
    98,518.86x = 7,624,488,919.43
  5. Step 5: Solve for x
    x = 7,624,488,919.43/98,518.86
  6. Step 6: Final answer
    x = 77,391.16

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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.