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Finding the Fourth Proportional to 140,058.39, 210,114.90 and 45,312.06

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Solution

The fourth proportional to 140,058.39, 210,114.90 and 45,312.06 is: 67,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,058.39 : 210,114.90 = 45,312.06 : x
  2. Step 2: Convert to fraction form
    140,058.39/210,114.90 = 45,312.06/x
  3. Step 3: Cross multiply
    140,058.39x = 210,114.90 × 45,312.06
  4. Step 4: Simplify right side
    140,058.39x = 9,520,738,955.69
  5. Step 5: Solve for x
    x = 9,520,738,955.69/140,058.39
  6. Step 6: Final answer
    x = 67,976.93

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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.