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Finding the Fourth Proportional to 243,701.16, 336,305.70 and 136,271.40

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Solution

The fourth proportional to 243,701.16, 336,305.70 and 136,271.40 is: 188,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,701.16 : 336,305.70 = 136,271.40 : x
  2. Step 2: Convert to fraction form
    243,701.16/336,305.70 = 136,271.40/x
  3. Step 3: Cross multiply
    243,701.16x = 336,305.70 × 136,271.40
  4. Step 4: Simplify right side
    243,701.16x = 45,828,848,566.98
  5. Step 5: Solve for x
    x = 45,828,848,566.98/243,701.16
  6. Step 6: Final answer
    x = 188,053.47

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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.