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Finding the Fourth Proportional to 242,985.16, 364,480.98 and 85,218.22

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Solution

The fourth proportional to 242,985.16, 364,480.98 and 85,218.22 is: 127,828.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,985.16 : 364,480.98 = 85,218.22 : x
  2. Step 2: Convert to fraction form
    242,985.16/364,480.98 = 85,218.22/x
  3. Step 3: Cross multiply
    242,985.16x = 364,480.98 × 85,218.22
  4. Step 4: Simplify right side
    242,985.16x = 31,060,420,339.46
  5. Step 5: Solve for x
    x = 31,060,420,339.46/242,985.16
  6. Step 6: Final answer
    x = 127,828.47

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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.