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Finding the Fourth Proportional to 142,800.30, 214,200.45 and 90,312.30

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Solution

The fourth proportional to 142,800.30, 214,200.45 and 90,312.30 is: 135,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,800.30 : 214,200.45 = 90,312.30 : x
  2. Step 2: Convert to fraction form
    142,800.30/214,200.45 = 90,312.30/x
  3. Step 3: Cross multiply
    142,800.30x = 214,200.45 × 90,312.30
  4. Step 4: Simplify right side
    142,800.30x = 19,344,935,300.54
  5. Step 5: Solve for x
    x = 19,344,935,300.54/142,800.30
  6. Step 6: Final answer
    x = 135,468.45

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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.