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Finding the Fourth Proportional to 99,281, 148,206.70 and 85,088

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Solution

The fourth proportional to 99,281, 148,206.70 and 85,088 is: 127,019.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,281 : 148,206.70 = 85,088 : x
  2. Step 2: Convert to fraction form
    99,281/148,206.70 = 85,088/x
  3. Step 3: Cross multiply
    99,281x = 148,206.70 × 85,088
  4. Step 4: Simplify right side
    99,281x = 12,610,611,689.60
  5. Step 5: Solve for x
    x = 12,610,611,689.60/99,281
  6. Step 6: Final answer
    x = 127,019.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.