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Finding the Fourth Proportional to 261,432, 360,776.16 and 142,200

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Solution

The fourth proportional to 261,432, 360,776.16 and 142,200 is: 196,236

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,432 : 360,776.16 = 142,200 : x
  2. Step 2: Convert to fraction form
    261,432/360,776.16 = 142,200/x
  3. Step 3: Cross multiply
    261,432x = 360,776.16 × 142,200
  4. Step 4: Simplify right side
    261,432x = 51,302,369,952
  5. Step 5: Solve for x
    x = 51,302,369,952/261,432
  6. Step 6: Final answer
    x = 196,236

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.