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Finding the Fourth Proportional to 106,646.76, 147,166.47 and 61,317.54

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Solution

The fourth proportional to 106,646.76, 147,166.47 and 61,317.54 is: 84,614.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,646.76 : 147,166.47 = 61,317.54 : x
  2. Step 2: Convert to fraction form
    106,646.76/147,166.47 = 61,317.54/x
  3. Step 3: Cross multiply
    106,646.76x = 147,166.47 × 61,317.54
  4. Step 4: Simplify right side
    106,646.76x = 9,023,885,910.88
  5. Step 5: Solve for x
    x = 9,023,885,910.88/106,646.76
  6. Step 6: Final answer
    x = 84,614.72

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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.