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Finding the Fourth Proportional to 106,748.40, 147,304.52 and 61,428.90

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Solution

The fourth proportional to 106,748.40, 147,304.52 and 61,428.90 is: 84,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,748.40 : 147,304.52 = 61,428.90 : x
  2. Step 2: Convert to fraction form
    106,748.40/147,304.52 = 61,428.90/x
  3. Step 3: Cross multiply
    106,748.40x = 147,304.52 × 61,428.90
  4. Step 4: Simplify right side
    106,748.40x = 9,048,754,628.63
  5. Step 5: Solve for x
    x = 9,048,754,628.63/106,748.40
  6. Step 6: Final answer
    x = 84,767.12

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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.