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Finding the Fourth Proportional to 152,163, 209,985.66 and 85,095

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Solution

The fourth proportional to 152,163, 209,985.66 and 85,095 is: 117,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,163 : 209,985.66 = 85,095 : x
  2. Step 2: Convert to fraction form
    152,163/209,985.66 = 85,095/x
  3. Step 3: Cross multiply
    152,163x = 209,985.66 × 85,095
  4. Step 4: Simplify right side
    152,163x = 17,868,729,737.70
  5. Step 5: Solve for x
    x = 17,868,729,737.70/152,163
  6. Step 6: Final answer
    x = 117,431.50

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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.