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Finding the Fourth Proportional to 106,880.51, 147,472.14 and 64,438.13

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Solution

The fourth proportional to 106,880.51, 147,472.14 and 64,438.13 is: 88,910.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,880.51 : 147,472.14 = 64,438.13 : x
  2. Step 2: Convert to fraction form
    106,880.51/147,472.14 = 64,438.13/x
  3. Step 3: Cross multiply
    106,880.51x = 147,472.14 × 64,438.13
  4. Step 4: Simplify right side
    106,880.51x = 9,502,829,539.02
  5. Step 5: Solve for x
    x = 9,502,829,539.02/106,880.51
  6. Step 6: Final answer
    x = 88,910.78

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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.