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Finding the Fourth Proportional to 70,263.04, 105,394.56 and 28,710

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Solution

The fourth proportional to 70,263.04, 105,394.56 and 28,710 is: 43,065

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,263.04 : 105,394.56 = 28,710 : x
  2. Step 2: Convert to fraction form
    70,263.04/105,394.56 = 28,710/x
  3. Step 3: Cross multiply
    70,263.04x = 105,394.56 × 28,710
  4. Step 4: Simplify right side
    70,263.04x = 3,025,877,817.60
  5. Step 5: Solve for x
    x = 3,025,877,817.60/70,263.04
  6. Step 6: Final answer
    x = 43,065

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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.