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Finding the Fourth Proportional to 102,390.30, 153,483.39 and 48,983.76

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Solution

The fourth proportional to 102,390.30, 153,483.39 and 48,983.76 is: 73,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,390.30 : 153,483.39 = 48,983.76 : x
  2. Step 2: Convert to fraction form
    102,390.30/153,483.39 = 48,983.76/x
  3. Step 3: Cross multiply
    102,390.30x = 153,483.39 × 48,983.76
  4. Step 4: Simplify right side
    102,390.30x = 7,518,193,539.75
  5. Step 5: Solve for x
    x = 7,518,193,539.75/102,390.30
  6. Step 6: Final answer
    x = 73,426.81

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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.