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Finding the Fourth Proportional to 191,113.47, 286,704.81 and 78,731.24

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Solution

The fourth proportional to 191,113.47, 286,704.81 and 78,731.24 is: 118,111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,113.47 : 286,704.81 = 78,731.24 : x
  2. Step 2: Convert to fraction form
    191,113.47/286,704.81 = 78,731.24/x
  3. Step 3: Cross multiply
    191,113.47x = 286,704.81 × 78,731.24
  4. Step 4: Simplify right side
    191,113.47x = 22,572,623,378.08
  5. Step 5: Solve for x
    x = 22,572,623,378.08/191,113.47
  6. Step 6: Final answer
    x = 118,111.11

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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.