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Finding the Fourth Proportional to 228,033.95, 314,686.67 and 137,393.74

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Solution

The fourth proportional to 228,033.95, 314,686.67 and 137,393.74 is: 189,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,033.95 : 314,686.67 = 137,393.74 : x
  2. Step 2: Convert to fraction form
    228,033.95/314,686.67 = 137,393.74/x
  3. Step 3: Cross multiply
    228,033.95x = 314,686.67 × 137,393.74
  4. Step 4: Simplify right side
    228,033.95x = 43,235,977,045.76
  5. Step 5: Solve for x
    x = 43,235,977,045.76/228,033.95
  6. Step 6: Final answer
    x = 189,603.24

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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.