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Finding the Fourth Proportional to 209,931.51, 314,864.81 and 76,780.63

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Solution

The fourth proportional to 209,931.51, 314,864.81 and 76,780.63 is: 115,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,931.51 : 314,864.81 = 76,780.63 : x
  2. Step 2: Convert to fraction form
    209,931.51/314,864.81 = 76,780.63/x
  3. Step 3: Cross multiply
    209,931.51x = 314,864.81 × 76,780.63
  4. Step 4: Simplify right side
    209,931.51x = 24,175,518,092.73
  5. Step 5: Solve for x
    x = 24,175,518,092.73/209,931.51
  6. Step 6: Final answer
    x = 115,159.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.