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Finding the Fourth Proportional to 142,802.70, 213,978.75 and 52,721.54

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Solution

The fourth proportional to 142,802.70, 213,978.75 and 52,721.54 is: 78,999.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,802.70 : 213,978.75 = 52,721.54 : x
  2. Step 2: Convert to fraction form
    142,802.70/213,978.75 = 52,721.54/x
  3. Step 3: Cross multiply
    142,802.70x = 213,978.75 × 52,721.54
  4. Step 4: Simplify right side
    142,802.70x = 11,281,288,762.10
  5. Step 5: Solve for x
    x = 11,281,288,762.10/142,802.70
  6. Step 6: Final answer
    x = 78,999.13

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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.