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Finding the Fourth Proportional to 145,897.91, 218,784.88 and 57,137.30

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Solution

The fourth proportional to 145,897.91, 218,784.88 and 57,137.30 is: 85,681.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,897.91 : 218,784.88 = 57,137.30 : x
  2. Step 2: Convert to fraction form
    145,897.91/218,784.88 = 57,137.30/x
  3. Step 3: Cross multiply
    145,897.91x = 218,784.88 × 57,137.30
  4. Step 4: Simplify right side
    145,897.91x = 12,500,777,121.96
  5. Step 5: Solve for x
    x = 12,500,777,121.96/145,897.91
  6. Step 6: Final answer
    x = 85,681.67

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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.