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Finding the Fourth Proportional to 99,054, 148,413.29 and 70,830.77

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Solution

The fourth proportional to 99,054, 148,413.29 and 70,830.77 is: 106,126.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,054 : 148,413.29 = 70,830.77 : x
  2. Step 2: Convert to fraction form
    99,054/148,413.29 = 70,830.77/x
  3. Step 3: Cross multiply
    99,054x = 148,413.29 × 70,830.77
  4. Step 4: Simplify right side
    99,054x = 10,512,226,512.71
  5. Step 5: Solve for x
    x = 10,512,226,512.71/99,054
  6. Step 6: Final answer
    x = 106,126.22

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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.