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Finding the Fourth Proportional to 45,140, 67,710.02 and 12,308

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Solution

The fourth proportional to 45,140, 67,710.02 and 12,308 is: 18,462.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,140 : 67,710.02 = 12,308 : x
  2. Step 2: Convert to fraction form
    45,140/67,710.02 = 12,308/x
  3. Step 3: Cross multiply
    45,140x = 67,710.02 × 12,308
  4. Step 4: Simplify right side
    45,140x = 833,374,926.16
  5. Step 5: Solve for x
    x = 833,374,926.16/45,140
  6. Step 6: Final answer
    x = 18,462.01

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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.