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Finding the Fourth Proportional to 105,931.70, 158,897.80 and 25,970.02

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Solution

The fourth proportional to 105,931.70, 158,897.80 and 25,970.02 is: 38,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,931.70 : 158,897.80 = 25,970.02 : x
  2. Step 2: Convert to fraction form
    105,931.70/158,897.80 = 25,970.02/x
  3. Step 3: Cross multiply
    105,931.70x = 158,897.80 × 25,970.02
  4. Step 4: Simplify right side
    105,931.70x = 4,126,578,679.17
  5. Step 5: Solve for x
    x = 4,126,578,679.17/105,931.70
  6. Step 6: Final answer
    x = 38,955.09

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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.