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Finding the Fourth Proportional to 190,700, 286,040.71 and 70,780.29

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Solution

The fourth proportional to 190,700, 286,040.71 and 70,780.29 is: 106,166.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,700 : 286,040.71 = 70,780.29 : x
  2. Step 2: Convert to fraction form
    190,700/286,040.71 = 70,780.29/x
  3. Step 3: Cross multiply
    190,700x = 286,040.71 × 70,780.29
  4. Step 4: Simplify right side
    190,700x = 20,246,044,405.61
  5. Step 5: Solve for x
    x = 20,246,044,405.61/190,700
  6. Step 6: Final answer
    x = 106,166.99

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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.