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Finding the Fourth Proportional to 152,320.50, 210,202.29 and 85,252.50

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Solution

The fourth proportional to 152,320.50, 210,202.29 and 85,252.50 is: 117,648.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,320.50 : 210,202.29 = 85,252.50 : x
  2. Step 2: Convert to fraction form
    152,320.50/210,202.29 = 85,252.50/x
  3. Step 3: Cross multiply
    152,320.50x = 210,202.29 × 85,252.50
  4. Step 4: Simplify right side
    152,320.50x = 17,920,270,728.23
  5. Step 5: Solve for x
    x = 17,920,270,728.23/152,320.50
  6. Step 6: Final answer
    x = 117,648.45

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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.