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Finding the Fourth Proportional to 142,113.93, 213,170.90 and 42,275.55

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Solution

The fourth proportional to 142,113.93, 213,170.90 and 42,275.55 is: 63,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,113.93 : 213,170.90 = 42,275.55 : x
  2. Step 2: Convert to fraction form
    142,113.93/213,170.90 = 42,275.55/x
  3. Step 3: Cross multiply
    142,113.93x = 213,170.90 × 42,275.55
  4. Step 4: Simplify right side
    142,113.93x = 9,011,917,041.50
  5. Step 5: Solve for x
    x = 9,011,917,041.50/142,113.93
  6. Step 6: Final answer
    x = 63,413.33

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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.