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Finding the Fourth Proportional to 153,806.08, 212,253.04 and 85,826.02

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Solution

The fourth proportional to 153,806.08, 212,253.04 and 85,826.02 is: 118,440.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,806.08 : 212,253.04 = 85,826.02 : x
  2. Step 2: Convert to fraction form
    153,806.08/212,253.04 = 85,826.02/x
  3. Step 3: Cross multiply
    153,806.08x = 212,253.04 × 85,826.02
  4. Step 4: Simplify right side
    153,806.08x = 18,216,833,656.10
  5. Step 5: Solve for x
    x = 18,216,833,656.10/153,806.08
  6. Step 6: Final answer
    x = 118,440.27

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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.