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Finding the Fourth Proportional to 142,137.07, 213,160.24 and 57,897.07

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Solution

The fourth proportional to 142,137.07, 213,160.24 and 57,897.07 is: 86,827.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,137.07 : 213,160.24 = 57,897.07 : x
  2. Step 2: Convert to fraction form
    142,137.07/213,160.24 = 57,897.07/x
  3. Step 3: Cross multiply
    142,137.07x = 213,160.24 × 57,897.07
  4. Step 4: Simplify right side
    142,137.07x = 12,341,353,336.50
  5. Step 5: Solve for x
    x = 12,341,353,336.50/142,137.07
  6. Step 6: Final answer
    x = 86,827.13

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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.