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Finding the Fourth Proportional to 152,689.52, 210,711.80 and 84,706.50

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Solution

The fourth proportional to 152,689.52, 210,711.80 and 84,706.50 is: 116,895.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,689.52 : 210,711.80 = 84,706.50 : x
  2. Step 2: Convert to fraction form
    152,689.52/210,711.80 = 84,706.50/x
  3. Step 3: Cross multiply
    152,689.52x = 210,711.80 × 84,706.50
  4. Step 4: Simplify right side
    152,689.52x = 17,848,658,663.17
  5. Step 5: Solve for x
    x = 17,848,658,663.17/152,689.52
  6. Step 6: Final answer
    x = 116,895.11

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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.