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Finding the Fourth Proportional to 105,717.34, 145,892 and 57,970.78

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Solution

The fourth proportional to 105,717.34, 145,892 and 57,970.78 is: 80,000.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,717.34 : 145,892 = 57,970.78 : x
  2. Step 2: Convert to fraction form
    105,717.34/145,892 = 57,970.78/x
  3. Step 3: Cross multiply
    105,717.34x = 145,892 × 57,970.78
  4. Step 4: Simplify right side
    105,717.34x = 8,457,473,035.76
  5. Step 5: Solve for x
    x = 8,457,473,035.76/105,717.34
  6. Step 6: Final answer
    x = 80,000.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.