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Finding the Fourth Proportional to 142,695.60, 214,075.80 and 83,500.80

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Solution

The fourth proportional to 142,695.60, 214,075.80 and 83,500.80 is: 125,270.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,695.60 : 214,075.80 = 83,500.80 : x
  2. Step 2: Convert to fraction form
    142,695.60/214,075.80 = 83,500.80/x
  3. Step 3: Cross multiply
    142,695.60x = 214,075.80 × 83,500.80
  4. Step 4: Simplify right side
    142,695.60x = 17,875,500,560.64
  5. Step 5: Solve for x
    x = 17,875,500,560.64/142,695.60
  6. Step 6: Final answer
    x = 125,270.16

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1.5x scale

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.