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Finding the Fourth Proportional to 153,846.40, 212,309.60 and 85,869.76

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Solution

The fourth proportional to 153,846.40, 212,309.60 and 85,869.76 is: 118,501.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,846.40 : 212,309.60 = 85,869.76 : x
  2. Step 2: Convert to fraction form
    153,846.40/212,309.60 = 85,869.76/x
  3. Step 3: Cross multiply
    153,846.40x = 212,309.60 × 85,869.76
  4. Step 4: Simplify right side
    153,846.40x = 18,230,974,397.70
  5. Step 5: Solve for x
    x = 18,230,974,397.70/153,846.40
  6. Step 6: Final answer
    x = 118,501.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.