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Finding the Fourth Proportional to 142,070.76, 213,106.54 and 36,890.60

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Solution

The fourth proportional to 142,070.76, 213,106.54 and 36,890.60 is: 55,336.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,070.76 : 213,106.54 = 36,890.60 : x
  2. Step 2: Convert to fraction form
    142,070.76/213,106.54 = 36,890.60/x
  3. Step 3: Cross multiply
    142,070.76x = 213,106.54 × 36,890.60
  4. Step 4: Simplify right side
    142,070.76x = 7,861,628,124.52
  5. Step 5: Solve for x
    x = 7,861,628,124.52/142,070.76
  6. Step 6: Final answer
    x = 55,336.00

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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.