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Finding the Fourth Proportional to 140,705.80, 211,058.70 and 42,209.80

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Solution

The fourth proportional to 140,705.80, 211,058.70 and 42,209.80 is: 63,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,705.80 : 211,058.70 = 42,209.80 : x
  2. Step 2: Convert to fraction form
    140,705.80/211,058.70 = 42,209.80/x
  3. Step 3: Cross multiply
    140,705.80x = 211,058.70 × 42,209.80
  4. Step 4: Simplify right side
    140,705.80x = 8,908,745,515.26
  5. Step 5: Solve for x
    x = 8,908,745,515.26/140,705.80
  6. Step 6: Final answer
    x = 63,314.70

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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.