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Finding the Fourth Proportional to 142,822.48, 214,234.48 and 42,981.99

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Solution

The fourth proportional to 142,822.48, 214,234.48 and 42,981.99 is: 64,473.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,822.48 : 214,234.48 = 42,981.99 : x
  2. Step 2: Convert to fraction form
    142,822.48/214,234.48 = 42,981.99/x
  3. Step 3: Cross multiply
    142,822.48x = 214,234.48 × 42,981.99
  4. Step 4: Simplify right side
    142,822.48x = 9,208,224,277.02
  5. Step 5: Solve for x
    x = 9,208,224,277.02/142,822.48
  6. Step 6: Final answer
    x = 64,473.21

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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.