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Finding the Fourth Proportional to 242,901.60, 364,287.60 and 85,113.60

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Solution

The fourth proportional to 242,901.60, 364,287.60 and 85,113.60 is: 127,647.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,901.60 : 364,287.60 = 85,113.60 : x
  2. Step 2: Convert to fraction form
    242,901.60/364,287.60 = 85,113.60/x
  3. Step 3: Cross multiply
    242,901.60x = 364,287.60 × 85,113.60
  4. Step 4: Simplify right side
    242,901.60x = 31,005,829,071.36
  5. Step 5: Solve for x
    x = 31,005,829,071.36/242,901.60
  6. Step 6: Final answer
    x = 127,647.69

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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.