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Finding the Fourth Proportional to 145,953.67, 201,415.96 and 78,885.67

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Solution

The fourth proportional to 145,953.67, 201,415.96 and 78,885.67 is: 108,862.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,953.67 : 201,415.96 = 78,885.67 : x
  2. Step 2: Convert to fraction form
    145,953.67/201,415.96 = 78,885.67/x
  3. Step 3: Cross multiply
    145,953.67x = 201,415.96 × 78,885.67
  4. Step 4: Simplify right side
    145,953.67x = 15,888,832,953.29
  5. Step 5: Solve for x
    x = 15,888,832,953.29/145,953.67
  6. Step 6: Final answer
    x = 108,862.17

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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.