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Finding the Fourth Proportional to 209,971.62, 315,088.65 and 85,312.62

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Solution

The fourth proportional to 209,971.62, 315,088.65 and 85,312.62 is: 128,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,971.62 : 315,088.65 = 85,312.62 : x
  2. Step 2: Convert to fraction form
    209,971.62/315,088.65 = 85,312.62/x
  3. Step 3: Cross multiply
    209,971.62x = 315,088.65 × 85,312.62
  4. Step 4: Simplify right side
    209,971.62x = 26,881,038,263.76
  5. Step 5: Solve for x
    x = 26,881,038,263.76/209,971.62
  6. Step 6: Final answer
    x = 128,022.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.