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Finding the Fourth Proportional to 103,259.16, 154,870.32 and 65,707.77

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Solution

The fourth proportional to 103,259.16, 154,870.32 and 65,707.77 is: 98,549.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,259.16 : 154,870.32 = 65,707.77 : x
  2. Step 2: Convert to fraction form
    103,259.16/154,870.32 = 65,707.77/x
  3. Step 3: Cross multiply
    103,259.16x = 154,870.32 × 65,707.77
  4. Step 4: Simplify right side
    103,259.16x = 10,176,183,366.39
  5. Step 5: Solve for x
    x = 10,176,183,366.39/103,259.16
  6. Step 6: Final answer
    x = 98,549.93

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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.