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Finding the Fourth Proportional to 103,203.65, 142,363.35 and 64,948.92

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Solution

The fourth proportional to 103,203.65, 142,363.35 and 64,948.92 is: 89,593.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,203.65 : 142,363.35 = 64,948.92 : x
  2. Step 2: Convert to fraction form
    103,203.65/142,363.35 = 64,948.92/x
  3. Step 3: Cross multiply
    103,203.65x = 142,363.35 × 64,948.92
  4. Step 4: Simplify right side
    103,203.65x = 9,246,345,830.08
  5. Step 5: Solve for x
    x = 9,246,345,830.08/103,203.65
  6. Step 6: Final answer
    x = 89,593.21

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1.5x scale

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.