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Finding the Fourth Proportional to 142,852.60, 214,133.10 and 83,657.80

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Solution

The fourth proportional to 142,852.60, 214,133.10 and 83,657.80 is: 125,401.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,852.60 : 214,133.10 = 83,657.80 : x
  2. Step 2: Convert to fraction form
    142,852.60/214,133.10 = 83,657.80/x
  3. Step 3: Cross multiply
    142,852.60x = 214,133.10 × 83,657.80
  4. Step 4: Simplify right side
    142,852.60x = 17,913,904,053.18
  5. Step 5: Solve for x
    x = 17,913,904,053.18/142,852.60
  6. Step 6: Final answer
    x = 125,401.32

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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.