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Finding the Fourth Proportional to 154,575, 213,313.50 and 87,507

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Solution

The fourth proportional to 154,575, 213,313.50 and 87,507 is: 120,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,575 : 213,313.50 = 87,507 : x
  2. Step 2: Convert to fraction form
    154,575/213,313.50 = 87,507/x
  3. Step 3: Cross multiply
    154,575x = 213,313.50 × 87,507
  4. Step 4: Simplify right side
    154,575x = 18,666,424,444.50
  5. Step 5: Solve for x
    x = 18,666,424,444.50/154,575
  6. Step 6: Final answer
    x = 120,759.66

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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.