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Finding the Fourth Proportional to 152,028, 209,811.60 and 84,972.96

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Solution

The fourth proportional to 152,028, 209,811.60 and 84,972.96 is: 117,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,028 : 209,811.60 = 84,972.96 : x
  2. Step 2: Convert to fraction form
    152,028/209,811.60 = 84,972.96/x
  3. Step 3: Cross multiply
    152,028x = 209,811.60 × 84,972.96
  4. Step 4: Simplify right side
    152,028x = 17,828,312,694.34
  5. Step 5: Solve for x
    x = 17,828,312,694.34/152,028
  6. Step 6: Final answer
    x = 117,269.93

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1.5x scale

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.