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Finding the Fourth Proportional to 228,702.64, 315,763.66 and 142,792.42

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Solution

The fourth proportional to 228,702.64, 315,763.66 and 142,792.42 is: 197,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,702.64 : 315,763.66 = 142,792.42 : x
  2. Step 2: Convert to fraction form
    228,702.64/315,763.66 = 142,792.42/x
  3. Step 3: Cross multiply
    228,702.64x = 315,763.66 × 142,792.42
  4. Step 4: Simplify right side
    228,702.64x = 45,088,657,159.46
  5. Step 5: Solve for x
    x = 45,088,657,159.46/228,702.64
  6. Step 6: Final answer
    x = 197,149.70

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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.