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Finding the Fourth Proportional to 191,141.52, 286,746.84 and 78,759.24

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Solution

The fourth proportional to 191,141.52, 286,746.84 and 78,759.24 is: 118,153.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,141.52 : 286,746.84 = 78,759.24 : x
  2. Step 2: Convert to fraction form
    191,141.52/286,746.84 = 78,759.24/x
  3. Step 3: Cross multiply
    191,141.52x = 286,746.84 × 78,759.24
  4. Step 4: Simplify right side
    191,141.52x = 22,583,963,190.80
  5. Step 5: Solve for x
    x = 22,583,963,190.80/191,141.52
  6. Step 6: Final answer
    x = 118,153.10

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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.