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Finding the Fourth Proportional to 140,702.40, 211,055.76 and 47,208.96

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Solution

The fourth proportional to 140,702.40, 211,055.76 and 47,208.96 is: 70,814.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,702.40 : 211,055.76 = 47,208.96 : x
  2. Step 2: Convert to fraction form
    140,702.40/211,055.76 = 47,208.96/x
  3. Step 3: Cross multiply
    140,702.40x = 211,055.76 × 47,208.96
  4. Step 4: Simplify right side
    140,702.40x = 9,963,722,931.61
  5. Step 5: Solve for x
    x = 9,963,722,931.61/140,702.40
  6. Step 6: Final answer
    x = 70,814.16

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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.