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Finding the Fourth Proportional to 191,838.42, 287,840.52 and 102,988.17

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Solution

The fourth proportional to 191,838.42, 287,840.52 and 102,988.17 is: 154,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,838.42 : 287,840.52 = 102,988.17 : x
  2. Step 2: Convert to fraction form
    191,838.42/287,840.52 = 102,988.17/x
  3. Step 3: Cross multiply
    191,838.42x = 287,840.52 × 102,988.17
  4. Step 4: Simplify right side
    191,838.42x = 29,644,168,406.65
  5. Step 5: Solve for x
    x = 29,644,168,406.65/191,838.42
  6. Step 6: Final answer
    x = 154,526.75

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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.