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Finding the Fourth Proportional to 191,312.42, 286,825.80 and 131,978.84

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Solution

The fourth proportional to 191,312.42, 286,825.80 and 131,978.84 is: 197,869.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,312.42 : 286,825.80 = 131,978.84 : x
  2. Step 2: Convert to fraction form
    191,312.42/286,825.80 = 131,978.84/x
  3. Step 3: Cross multiply
    191,312.42x = 286,825.80 × 131,978.84
  4. Step 4: Simplify right side
    191,312.42x = 37,854,936,366.07
  5. Step 5: Solve for x
    x = 37,854,936,366.07/191,312.42
  6. Step 6: Final answer
    x = 197,869.73

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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.