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Finding the Fourth Proportional to 152,053.46, 209,830.08 and 84,068.68

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Solution

The fourth proportional to 152,053.46, 209,830.08 and 84,068.68 is: 116,012.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,053.46 : 209,830.08 = 84,068.68 : x
  2. Step 2: Convert to fraction form
    152,053.46/209,830.08 = 84,068.68/x
  3. Step 3: Cross multiply
    152,053.46x = 209,830.08 × 84,068.68
  4. Step 4: Simplify right side
    152,053.46x = 17,640,137,849.89
  5. Step 5: Solve for x
    x = 17,640,137,849.89/152,053.46
  6. Step 6: Final answer
    x = 116,012.74

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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.