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Finding the Fourth Proportional to 144,106.40, 216,291.44 and 73,078.06

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Solution

The fourth proportional to 144,106.40, 216,291.44 and 73,078.06 is: 109,683.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,106.40 : 216,291.44 = 73,078.06 : x
  2. Step 2: Convert to fraction form
    144,106.40/216,291.44 = 73,078.06/x
  3. Step 3: Cross multiply
    144,106.40x = 216,291.44 × 73,078.06
  4. Step 4: Simplify right side
    144,106.40x = 15,806,158,829.81
  5. Step 5: Solve for x
    x = 15,806,158,829.81/144,106.40
  6. Step 6: Final answer
    x = 109,683.95

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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.