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Finding the Fourth Proportional to 70,510.76, 105,625.14 and 42,415.28

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Solution

The fourth proportional to 70,510.76, 105,625.14 and 42,415.28 is: 63,538.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,510.76 : 105,625.14 = 42,415.28 : x
  2. Step 2: Convert to fraction form
    70,510.76/105,625.14 = 42,415.28/x
  3. Step 3: Cross multiply
    70,510.76x = 105,625.14 × 42,415.28
  4. Step 4: Simplify right side
    70,510.76x = 4,480,119,888.14
  5. Step 5: Solve for x
    x = 4,480,119,888.14/70,510.76
  6. Step 6: Final answer
    x = 63,538.10

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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.