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Finding the Fourth Proportional to 98,829.34, 136,406.90 and 77,276.45

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Solution

The fourth proportional to 98,829.34, 136,406.90 and 77,276.45 is: 106,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,829.34 : 136,406.90 = 77,276.45 : x
  2. Step 2: Convert to fraction form
    98,829.34/136,406.90 = 77,276.45/x
  3. Step 3: Cross multiply
    98,829.34x = 136,406.90 × 77,276.45
  4. Step 4: Simplify right side
    98,829.34x = 10,541,041,521.71
  5. Step 5: Solve for x
    x = 10,541,041,521.71/98,829.34
  6. Step 6: Final answer
    x = 106,659.03

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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.