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Finding the Fourth Proportional to 98,720.10, 147,788.55 and 65,477.70

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Solution

The fourth proportional to 98,720.10, 147,788.55 and 65,477.70 is: 98,023.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,720.10 : 147,788.55 = 65,477.70 : x
  2. Step 2: Convert to fraction form
    98,720.10/147,788.55 = 65,477.70/x
  3. Step 3: Cross multiply
    98,720.10x = 147,788.55 × 65,477.70
  4. Step 4: Simplify right side
    98,720.10x = 9,676,854,340.34
  5. Step 5: Solve for x
    x = 9,676,854,340.34/98,720.10
  6. Step 6: Final answer
    x = 98,023.14

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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.