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Finding the Fourth Proportional to 131,807.10, 197,710.65 and 96,815.10

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Solution

The fourth proportional to 131,807.10, 197,710.65 and 96,815.10 is: 145,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,807.10 : 197,710.65 = 96,815.10 : x
  2. Step 2: Convert to fraction form
    131,807.10/197,710.65 = 96,815.10/x
  3. Step 3: Cross multiply
    131,807.10x = 197,710.65 × 96,815.10
  4. Step 4: Simplify right side
    131,807.10x = 19,141,376,350.82
  5. Step 5: Solve for x
    x = 19,141,376,350.82/131,807.10
  6. Step 6: Final answer
    x = 145,222.65

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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.