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Finding the Fourth Proportional to 106,312.90, 159,469.35 and 77,007.10

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Solution

The fourth proportional to 106,312.90, 159,469.35 and 77,007.10 is: 115,510.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,312.90 : 159,469.35 = 77,007.10 : x
  2. Step 2: Convert to fraction form
    106,312.90/159,469.35 = 77,007.10/x
  3. Step 3: Cross multiply
    106,312.90x = 159,469.35 × 77,007.10
  4. Step 4: Simplify right side
    106,312.90x = 12,280,272,182.39
  5. Step 5: Solve for x
    x = 12,280,272,182.39/106,312.90
  6. Step 6: Final answer
    x = 115,510.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.