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Finding the Fourth Proportional to 158,783.84, 219,139.13 and 90,807.14

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Solution

The fourth proportional to 158,783.84, 219,139.13 and 90,807.14 is: 125,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,783.84 : 219,139.13 = 90,807.14 : x
  2. Step 2: Convert to fraction form
    158,783.84/219,139.13 = 90,807.14/x
  3. Step 3: Cross multiply
    158,783.84x = 219,139.13 × 90,807.14
  4. Step 4: Simplify right side
    158,783.84x = 19,899,397,657.39
  5. Step 5: Solve for x
    x = 19,899,397,657.39/158,783.84
  6. Step 6: Final answer
    x = 125,323.82

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1.5x scale

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.