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Finding the Fourth Proportional to 142,518.61, 214,108.80 and 134,866

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Solution

The fourth proportional to 142,518.61, 214,108.80 and 134,866 is: 202,612.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,518.61 : 214,108.80 = 134,866 : x
  2. Step 2: Convert to fraction form
    142,518.61/214,108.80 = 134,866/x
  3. Step 3: Cross multiply
    142,518.61x = 214,108.80 × 134,866
  4. Step 4: Simplify right side
    142,518.61x = 28,875,997,420.80
  5. Step 5: Solve for x
    x = 28,875,997,420.80/142,518.61
  6. Step 6: Final answer
    x = 202,612.12

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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.