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Finding the Fourth Proportional to 142,969.77, 214,455.47 and 37,787.63

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Solution

The fourth proportional to 142,969.77, 214,455.47 and 37,787.63 is: 56,681.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,969.77 : 214,455.47 = 37,787.63 : x
  2. Step 2: Convert to fraction form
    142,969.77/214,455.47 = 37,787.63/x
  3. Step 3: Cross multiply
    142,969.77x = 214,455.47 × 37,787.63
  4. Step 4: Simplify right side
    142,969.77x = 8,103,762,690.62
  5. Step 5: Solve for x
    x = 8,103,762,690.62/142,969.77
  6. Step 6: Final answer
    x = 56,681.65

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1.5x scale

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.