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Finding the Fourth Proportional to 242,002.86, 333,972 and 133,111.78

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Solution

The fourth proportional to 242,002.86, 333,972 and 133,111.78 is: 183,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,002.86 : 333,972 = 133,111.78 : x
  2. Step 2: Convert to fraction form
    242,002.86/333,972 = 133,111.78/x
  3. Step 3: Cross multiply
    242,002.86x = 333,972 × 133,111.78
  4. Step 4: Simplify right side
    242,002.86x = 44,455,607,390.16
  5. Step 5: Solve for x
    x = 44,455,607,390.16/242,002.86
  6. Step 6: Final answer
    x = 183,698.69

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1.5x scale

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.