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Finding the Fourth Proportional to 152,809.42, 229,268.81 and 77,948.41

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Solution

The fourth proportional to 152,809.42, 229,268.81 and 77,948.41 is: 116,950.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809.42 : 229,268.81 = 77,948.41 : x
  2. Step 2: Convert to fraction form
    152,809.42/229,268.81 = 77,948.41/x
  3. Step 3: Cross multiply
    152,809.42x = 229,268.81 × 77,948.41
  4. Step 4: Simplify right side
    152,809.42x = 17,871,139,202.09
  5. Step 5: Solve for x
    x = 17,871,139,202.09/152,809.42
  6. Step 6: Final answer
    x = 116,950.51

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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.