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Finding the Fourth Proportional to 98,697.23, 136,042.21 and 77,148.90

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Solution

The fourth proportional to 98,697.23, 136,042.21 and 77,148.90 is: 106,340.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,697.23 : 136,042.21 = 77,148.90 : x
  2. Step 2: Convert to fraction form
    98,697.23/136,042.21 = 77,148.90/x
  3. Step 3: Cross multiply
    98,697.23x = 136,042.21 × 77,148.90
  4. Step 4: Simplify right side
    98,697.23x = 10,495,506,855.07
  5. Step 5: Solve for x
    x = 10,495,506,855.07/98,697.23
  6. Step 6: Final answer
    x = 106,340.44

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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.