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Finding the Fourth Proportional to 121,353.84, 182,030.76 and 47,430

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Solution

The fourth proportional to 121,353.84, 182,030.76 and 47,430 is: 71,145.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,353.84 : 182,030.76 = 47,430 : x
  2. Step 2: Convert to fraction form
    121,353.84/182,030.76 = 47,430/x
  3. Step 3: Cross multiply
    121,353.84x = 182,030.76 × 47,430
  4. Step 4: Simplify right side
    121,353.84x = 8,633,718,946.80
  5. Step 5: Solve for x
    x = 8,633,718,946.80/121,353.84
  6. Step 6: Final answer
    x = 71,145.00

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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.