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Finding the Fourth Proportional to 106,931.70, 147,413.61 and 72,896.51

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Solution

The fourth proportional to 106,931.70, 147,413.61 and 72,896.51 is: 100,493.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,931.70 : 147,413.61 = 72,896.51 : x
  2. Step 2: Convert to fraction form
    106,931.70/147,413.61 = 72,896.51/x
  3. Step 3: Cross multiply
    106,931.70x = 147,413.61 × 72,896.51
  4. Step 4: Simplify right side
    106,931.70x = 10,745,937,695.50
  5. Step 5: Solve for x
    x = 10,745,937,695.50/106,931.70
  6. Step 6: Final answer
    x = 100,493.47

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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.