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Finding the Fourth Proportional to 142,313.40, 213,480.92 and 42,465.80

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Solution

The fourth proportional to 142,313.40, 213,480.92 and 42,465.80 is: 63,701.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,313.40 : 213,480.92 = 42,465.80 : x
  2. Step 2: Convert to fraction form
    142,313.40/213,480.92 = 42,465.80/x
  3. Step 3: Cross multiply
    142,313.40x = 213,480.92 × 42,465.80
  4. Step 4: Simplify right side
    142,313.40x = 9,065,638,052.54
  5. Step 5: Solve for x
    x = 9,065,638,052.54/142,313.40
  6. Step 6: Final answer
    x = 63,701.93

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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.