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Finding the Fourth Proportional to 228,070, 314,726.70 and 124,702.30

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Solution

The fourth proportional to 228,070, 314,726.70 and 124,702.30 is: 172,083.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,070 : 314,726.70 = 124,702.30 : x
  2. Step 2: Convert to fraction form
    228,070/314,726.70 = 124,702.30/x
  3. Step 3: Cross multiply
    228,070x = 314,726.70 × 124,702.30
  4. Step 4: Simplify right side
    228,070x = 39,247,143,361.41
  5. Step 5: Solve for x
    x = 39,247,143,361.41/228,070
  6. Step 6: Final answer
    x = 172,083.76

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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.