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Finding the Fourth Proportional to 152,894.40, 210,952.80 and 85,824.96

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Solution

The fourth proportional to 152,894.40, 210,952.80 and 85,824.96 is: 118,415.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,894.40 : 210,952.80 = 85,824.96 : x
  2. Step 2: Convert to fraction form
    152,894.40/210,952.80 = 85,824.96/x
  3. Step 3: Cross multiply
    152,894.40x = 210,952.80 × 85,824.96
  4. Step 4: Simplify right side
    152,894.40x = 18,105,015,621.89
  5. Step 5: Solve for x
    x = 18,105,015,621.89/152,894.40
  6. Step 6: Final answer
    x = 118,415.17

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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.