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Finding the Fourth Proportional to 238,281.84, 357,345 and 105,156.72

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Solution

The fourth proportional to 238,281.84, 357,345 and 105,156.72 is: 157,700.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,281.84 : 357,345 = 105,156.72 : x
  2. Step 2: Convert to fraction form
    238,281.84/357,345 = 105,156.72/x
  3. Step 3: Cross multiply
    238,281.84x = 357,345 × 105,156.72
  4. Step 4: Simplify right side
    238,281.84x = 37,577,228,108.40
  5. Step 5: Solve for x
    x = 37,577,228,108.40/238,281.84
  6. Step 6: Final answer
    x = 157,700.76

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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.