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Finding the Fourth Proportional to 152,606.96, 210,586.16 and 85,526

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Solution

The fourth proportional to 152,606.96, 210,586.16 and 85,526 is: 118,019.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,606.96 : 210,586.16 = 85,526 : x
  2. Step 2: Convert to fraction form
    152,606.96/210,586.16 = 85,526/x
  3. Step 3: Cross multiply
    152,606.96x = 210,586.16 × 85,526
  4. Step 4: Simplify right side
    152,606.96x = 18,010,591,920.16
  5. Step 5: Solve for x
    x = 18,010,591,920.16/152,606.96
  6. Step 6: Final answer
    x = 118,019.47

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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.