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Finding the Fourth Proportional to 137,900.04, 190,288.62 and 77,457

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Solution

The fourth proportional to 137,900.04, 190,288.62 and 77,457 is: 106,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,900.04 : 190,288.62 = 77,457 : x
  2. Step 2: Convert to fraction form
    137,900.04/190,288.62 = 77,457/x
  3. Step 3: Cross multiply
    137,900.04x = 190,288.62 × 77,457
  4. Step 4: Simplify right side
    137,900.04x = 14,739,185,639.34
  5. Step 5: Solve for x
    x = 14,739,185,639.34/137,900.04
  6. Step 6: Final answer
    x = 106,883.11

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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.