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Finding the Fourth Proportional to 103,434.75, 142,746.03 and 77,896.04

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Solution

The fourth proportional to 103,434.75, 142,746.03 and 77,896.04 is: 107,501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,434.75 : 142,746.03 = 77,896.04 : x
  2. Step 2: Convert to fraction form
    103,434.75/142,746.03 = 77,896.04/x
  3. Step 3: Cross multiply
    103,434.75x = 142,746.03 × 77,896.04
  4. Step 4: Simplify right side
    103,434.75x = 11,119,349,748.99
  5. Step 5: Solve for x
    x = 11,119,349,748.99/103,434.75
  6. Step 6: Final answer
    x = 107,501.10

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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.