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Finding the Fourth Proportional to 100,948.92, 139,160.07 and 64,646.34

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Solution

The fourth proportional to 100,948.92, 139,160.07 and 64,646.34 is: 89,116.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948.92 : 139,160.07 = 64,646.34 : x
  2. Step 2: Convert to fraction form
    100,948.92/139,160.07 = 64,646.34/x
  3. Step 3: Cross multiply
    100,948.92x = 139,160.07 × 64,646.34
  4. Step 4: Simplify right side
    100,948.92x = 8,996,189,199.64
  5. Step 5: Solve for x
    x = 8,996,189,199.64/100,948.92
  6. Step 6: Final answer
    x = 89,116.25

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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.