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Finding the Fourth Proportional to 243,596.15, 365,386.02 and 85,820.50

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Solution

The fourth proportional to 243,596.15, 365,386.02 and 85,820.50 is: 128,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,596.15 : 365,386.02 = 85,820.50 : x
  2. Step 2: Convert to fraction form
    243,596.15/365,386.02 = 85,820.50/x
  3. Step 3: Cross multiply
    243,596.15x = 365,386.02 × 85,820.50
  4. Step 4: Simplify right side
    243,596.15x = 31,357,610,929.41
  5. Step 5: Solve for x
    x = 31,357,610,929.41/243,596.15
  6. Step 6: Final answer
    x = 128,727.86

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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.