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Finding the Fourth Proportional to 121,838.40, 182,692.80 and 51,638.40

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Solution

The fourth proportional to 121,838.40, 182,692.80 and 51,638.40 is: 77,430.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,838.40 : 182,692.80 = 51,638.40 : x
  2. Step 2: Convert to fraction form
    121,838.40/182,692.80 = 51,638.40/x
  3. Step 3: Cross multiply
    121,838.40x = 182,692.80 × 51,638.40
  4. Step 4: Simplify right side
    121,838.40x = 9,433,963,883.52
  5. Step 5: Solve for x
    x = 9,433,963,883.52/121,838.40
  6. Step 6: Final answer
    x = 77,430.14

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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.