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Finding the Fourth Proportional to 152,641.36, 210,658 and 84,680.21

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Solution

The fourth proportional to 152,641.36, 210,658 and 84,680.21 is: 116,865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,641.36 : 210,658 = 84,680.21 : x
  2. Step 2: Convert to fraction form
    152,641.36/210,658 = 84,680.21/x
  3. Step 3: Cross multiply
    152,641.36x = 210,658 × 84,680.21
  4. Step 4: Simplify right side
    152,641.36x = 17,838,563,678.18
  5. Step 5: Solve for x
    x = 17,838,563,678.18/152,641.36
  6. Step 6: Final answer
    x = 116,865.86

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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.