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Finding the Fourth Proportional to 98,449.80, 147,638.25 and 77,430.75

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Solution

The fourth proportional to 98,449.80, 147,638.25 and 77,430.75 is: 116,117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,449.80 : 147,638.25 = 77,430.75 : x
  2. Step 2: Convert to fraction form
    98,449.80/147,638.25 = 77,430.75/x
  3. Step 3: Cross multiply
    98,449.80x = 147,638.25 × 77,430.75
  4. Step 4: Simplify right side
    98,449.80x = 11,431,740,426.19
  5. Step 5: Solve for x
    x = 11,431,740,426.19/98,449.80
  6. Step 6: Final answer
    x = 116,117.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.