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Finding the Fourth Proportional to 152,055.68, 209,828.40 and 84,068.69

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Solution

The fourth proportional to 152,055.68, 209,828.40 and 84,068.69 is: 116,010.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,055.68 : 209,828.40 = 84,068.69 : x
  2. Step 2: Convert to fraction form
    152,055.68/209,828.40 = 84,068.69/x
  3. Step 3: Cross multiply
    152,055.68x = 209,828.40 × 84,068.69
  4. Step 4: Simplify right side
    152,055.68x = 17,639,998,712.80
  5. Step 5: Solve for x
    x = 17,639,998,712.80/152,055.68
  6. Step 6: Final answer
    x = 116,010.13

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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.