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Finding the Fourth Proportional to 97,892.10, 146,838.15 and 86,228.10

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Solution

The fourth proportional to 97,892.10, 146,838.15 and 86,228.10 is: 129,342.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,892.10 : 146,838.15 = 86,228.10 : x
  2. Step 2: Convert to fraction form
    97,892.10/146,838.15 = 86,228.10/x
  3. Step 3: Cross multiply
    97,892.10x = 146,838.15 × 86,228.10
  4. Step 4: Simplify right side
    97,892.10x = 12,661,574,682.02
  5. Step 5: Solve for x
    x = 12,661,574,682.02/97,892.10
  6. Step 6: Final answer
    x = 129,342.15

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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.