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Finding the Fourth Proportional to 105,595.40, 158,419.93 and 30,715.54

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Solution

The fourth proportional to 105,595.40, 158,419.93 and 30,715.54 is: 46,081.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,595.40 : 158,419.93 = 30,715.54 : x
  2. Step 2: Convert to fraction form
    105,595.40/158,419.93 = 30,715.54/x
  3. Step 3: Cross multiply
    105,595.40x = 158,419.93 × 30,715.54
  4. Step 4: Simplify right side
    105,595.40x = 4,865,953,696.71
  5. Step 5: Solve for x
    x = 4,865,953,696.71/105,595.40
  6. Step 6: Final answer
    x = 46,081.11

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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.