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Finding the Fourth Proportional to 292,105, 438,157.50 and 70,489

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Solution

The fourth proportional to 292,105, 438,157.50 and 70,489 is: 105,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,105 : 438,157.50 = 70,489 : x
  2. Step 2: Convert to fraction form
    292,105/438,157.50 = 70,489/x
  3. Step 3: Cross multiply
    292,105x = 438,157.50 × 70,489
  4. Step 4: Simplify right side
    292,105x = 30,885,284,017.50
  5. Step 5: Solve for x
    x = 30,885,284,017.50/292,105
  6. Step 6: Final answer
    x = 105,733.50

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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.