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Finding the Fourth Proportional to 152,106.64, 209,907.60 and 85,038.64

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Solution

The fourth proportional to 152,106.64, 209,907.60 and 85,038.64 is: 117,353.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,106.64 : 209,907.60 = 85,038.64 : x
  2. Step 2: Convert to fraction form
    152,106.64/209,907.60 = 85,038.64/x
  3. Step 3: Cross multiply
    152,106.64x = 209,907.60 × 85,038.64
  4. Step 4: Simplify right side
    152,106.64x = 17,850,256,829.66
  5. Step 5: Solve for x
    x = 17,850,256,829.66/152,106.64
  6. Step 6: Final answer
    x = 117,353.57

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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.