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Finding the Fourth Proportional to 247,746.47, 371,488.46 and 97,980.71

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Solution

The fourth proportional to 247,746.47, 371,488.46 and 97,980.71 is: 146,919.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,746.47 : 371,488.46 = 97,980.71 : x
  2. Step 2: Convert to fraction form
    247,746.47/371,488.46 = 97,980.71/x
  3. Step 3: Cross multiply
    247,746.47x = 371,488.46 × 97,980.71
  4. Step 4: Simplify right side
    247,746.47x = 36,398,700,720.26
  5. Step 5: Solve for x
    x = 36,398,700,720.26/247,746.47
  6. Step 6: Final answer
    x = 146,919.15

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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.