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Finding the Fourth Proportional to 152,409.79, 210,328.88 and 86,997.27

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Solution

The fourth proportional to 152,409.79, 210,328.88 and 86,997.27 is: 120,058.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,409.79 : 210,328.88 = 86,997.27 : x
  2. Step 2: Convert to fraction form
    152,409.79/210,328.88 = 86,997.27/x
  3. Step 3: Cross multiply
    152,409.79x = 210,328.88 × 86,997.27
  4. Step 4: Simplify right side
    152,409.79x = 18,298,037,927.17
  5. Step 5: Solve for x
    x = 18,298,037,927.17/152,409.79
  6. Step 6: Final answer
    x = 120,058.15

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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.