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Finding the Fourth Proportional to 115,073.76, 158,733.36 and 70,284

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Solution

The fourth proportional to 115,073.76, 158,733.36 and 70,284 is: 96,950.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,073.76 : 158,733.36 = 70,284 : x
  2. Step 2: Convert to fraction form
    115,073.76/158,733.36 = 70,284/x
  3. Step 3: Cross multiply
    115,073.76x = 158,733.36 × 70,284
  4. Step 4: Simplify right side
    115,073.76x = 11,156,415,474.24
  5. Step 5: Solve for x
    x = 11,156,415,474.24/115,073.76
  6. Step 6: Final answer
    x = 96,950.13

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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.