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Finding the Fourth Proportional to 191,335.42, 286,752.63 and 78,884.74

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Solution

The fourth proportional to 191,335.42, 286,752.63 and 78,884.74 is: 118,223.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,335.42 : 286,752.63 = 78,884.74 : x
  2. Step 2: Convert to fraction form
    191,335.42/286,752.63 = 78,884.74/x
  3. Step 3: Cross multiply
    191,335.42x = 286,752.63 × 78,884.74
  4. Step 4: Simplify right side
    191,335.42x = 22,620,406,661.87
  5. Step 5: Solve for x
    x = 22,620,406,661.87/191,335.42
  6. Step 6: Final answer
    x = 118,223.83

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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.