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Finding the Fourth Proportional to 242,703.18, 364,020.75 and 102,429

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Solution

The fourth proportional to 242,703.18, 364,020.75 and 102,429 is: 153,629.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,703.18 : 364,020.75 = 102,429 : x
  2. Step 2: Convert to fraction form
    242,703.18/364,020.75 = 102,429/x
  3. Step 3: Cross multiply
    242,703.18x = 364,020.75 × 102,429
  4. Step 4: Simplify right side
    242,703.18x = 37,286,281,401.75
  5. Step 5: Solve for x
    x = 37,286,281,401.75/242,703.18
  6. Step 6: Final answer
    x = 153,629.14

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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.