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Finding the Fourth Proportional to 152,856.64, 210,948.72 and 84,873.60

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Solution

The fourth proportional to 152,856.64, 210,948.72 and 84,873.60 is: 117,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,856.64 : 210,948.72 = 84,873.60 : x
  2. Step 2: Convert to fraction form
    152,856.64/210,948.72 = 84,873.60/x
  3. Step 3: Cross multiply
    152,856.64x = 210,948.72 × 84,873.60
  4. Step 4: Simplify right side
    152,856.64x = 17,903,977,281.79
  5. Step 5: Solve for x
    x = 17,903,977,281.79/152,856.64
  6. Step 6: Final answer
    x = 117,129.21

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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.