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Finding the Fourth Proportional to 86,490.45, 128,875.91 and 77,058

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Solution

The fourth proportional to 86,490.45, 128,875.91 and 77,058 is: 114,820.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,490.45 : 128,875.91 = 77,058 : x
  2. Step 2: Convert to fraction form
    86,490.45/128,875.91 = 77,058/x
  3. Step 3: Cross multiply
    86,490.45x = 128,875.91 × 77,058
  4. Step 4: Simplify right side
    86,490.45x = 9,930,919,487.49
  5. Step 5: Solve for x
    x = 9,930,919,487.49/86,490.45
  6. Step 6: Final answer
    x = 114,820.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.