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Finding the Fourth Proportional to 145,853, 218,816.40 and 40,671.98

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Solution

The fourth proportional to 145,853, 218,816.40 and 40,671.98 is: 61,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,853 : 218,816.40 = 40,671.98 : x
  2. Step 2: Convert to fraction form
    145,853/218,816.40 = 40,671.98/x
  3. Step 3: Cross multiply
    145,853x = 218,816.40 × 40,671.98
  4. Step 4: Simplify right side
    145,853x = 8,899,696,244.47
  5. Step 5: Solve for x
    x = 8,899,696,244.47/145,853
  6. Step 6: Final answer
    x = 61,018.26

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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.