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Finding the Fourth Proportional to 106,605, 147,127.86 and 61,893

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Solution

The fourth proportional to 106,605, 147,127.86 and 61,893 is: 85,419.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,605 : 147,127.86 = 61,893 : x
  2. Step 2: Convert to fraction form
    106,605/147,127.86 = 61,893/x
  3. Step 3: Cross multiply
    106,605x = 147,127.86 × 61,893
  4. Step 4: Simplify right side
    106,605x = 9,106,184,638.98
  5. Step 5: Solve for x
    x = 9,106,184,638.98/106,605
  6. Step 6: Final answer
    x = 85,419.86

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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.