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Finding the Fourth Proportional to 144,487.84, 216,731.76 and 70,564

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Solution

The fourth proportional to 144,487.84, 216,731.76 and 70,564 is: 105,846.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,487.84 : 216,731.76 = 70,564 : x
  2. Step 2: Convert to fraction form
    144,487.84/216,731.76 = 70,564/x
  3. Step 3: Cross multiply
    144,487.84x = 216,731.76 × 70,564
  4. Step 4: Simplify right side
    144,487.84x = 15,293,459,912.64
  5. Step 5: Solve for x
    x = 15,293,459,912.64/144,487.84
  6. Step 6: Final answer
    x = 105,846.00

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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.