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Finding the Fourth Proportional to 70,105.19, 105,038.13 and 38,541.69

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Solution

The fourth proportional to 70,105.19, 105,038.13 and 38,541.69 is: 57,746.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,105.19 : 105,038.13 = 38,541.69 : x
  2. Step 2: Convert to fraction form
    70,105.19/105,038.13 = 38,541.69/x
  3. Step 3: Cross multiply
    70,105.19x = 105,038.13 × 38,541.69
  4. Step 4: Simplify right side
    70,105.19x = 4,048,347,189.17
  5. Step 5: Solve for x
    x = 4,048,347,189.17/70,105.19
  6. Step 6: Final answer
    x = 57,746.76

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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.