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Finding the Fourth Proportional to 102,897.52, 142,047.06 and 77,413.56

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Solution

The fourth proportional to 102,897.52, 142,047.06 and 77,413.56 is: 106,867.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,897.52 : 142,047.06 = 77,413.56 : x
  2. Step 2: Convert to fraction form
    102,897.52/142,047.06 = 77,413.56/x
  3. Step 3: Cross multiply
    102,897.52x = 142,047.06 × 77,413.56
  4. Step 4: Simplify right side
    102,897.52x = 10,996,368,602.13
  5. Step 5: Solve for x
    x = 10,996,368,602.13/102,897.52
  6. Step 6: Final answer
    x = 106,867.19

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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.