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Finding the Fourth Proportional to 141,154, 211,731 and 42,658

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Solution

The fourth proportional to 141,154, 211,731 and 42,658 is: 63,987

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,154 : 211,731 = 42,658 : x
  2. Step 2: Convert to fraction form
    141,154/211,731 = 42,658/x
  3. Step 3: Cross multiply
    141,154x = 211,731 × 42,658
  4. Step 4: Simplify right side
    141,154x = 9,032,020,998
  5. Step 5: Solve for x
    x = 9,032,020,998/141,154
  6. Step 6: Final answer
    x = 63,987

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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.