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Finding the Fourth Proportional to 153,810.67, 212,258.46 and 85,823.50

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Solution

The fourth proportional to 153,810.67, 212,258.46 and 85,823.50 is: 118,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,810.67 : 212,258.46 = 85,823.50 : x
  2. Step 2: Convert to fraction form
    153,810.67/212,258.46 = 85,823.50/x
  3. Step 3: Cross multiply
    153,810.67x = 212,258.46 × 85,823.50
  4. Step 4: Simplify right side
    153,810.67x = 18,216,763,941.81
  5. Step 5: Solve for x
    x = 18,216,763,941.81/153,810.67
  6. Step 6: Final answer
    x = 118,436.28

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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.