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Finding the Fourth Proportional to 106,646.34, 147,218.92 and 63,640.74

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Solution

The fourth proportional to 106,646.34, 147,218.92 and 63,640.74 is: 87,852.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,646.34 : 147,218.92 = 63,640.74 : x
  2. Step 2: Convert to fraction form
    106,646.34/147,218.92 = 63,640.74/x
  3. Step 3: Cross multiply
    106,646.34x = 147,218.92 × 63,640.74
  4. Step 4: Simplify right side
    106,646.34x = 9,369,121,010.80
  5. Step 5: Solve for x
    x = 9,369,121,010.80/106,646.34
  6. Step 6: Final answer
    x = 87,852.25

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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.