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Finding the Fourth Proportional to 152,506.64, 210,196.30 and 101,428.02

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Solution

The fourth proportional to 152,506.64, 210,196.30 and 101,428.02 is: 139,795.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,506.64 : 210,196.30 = 101,428.02 : x
  2. Step 2: Convert to fraction form
    152,506.64/210,196.30 = 101,428.02/x
  3. Step 3: Cross multiply
    152,506.64x = 210,196.30 × 101,428.02
  4. Step 4: Simplify right side
    152,506.64x = 21,319,794,520.33
  5. Step 5: Solve for x
    x = 21,319,794,520.33/152,506.64
  6. Step 6: Final answer
    x = 139,795.84

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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.