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Finding the Fourth Proportional to 189,931.23, 262,111.95 and 105,048.90

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Solution

The fourth proportional to 189,931.23, 262,111.95 and 105,048.90 is: 144,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,931.23 : 262,111.95 = 105,048.90 : x
  2. Step 2: Convert to fraction form
    189,931.23/262,111.95 = 105,048.90/x
  3. Step 3: Cross multiply
    189,931.23x = 262,111.95 × 105,048.90
  4. Step 4: Simplify right side
    189,931.23x = 27,534,572,024.36
  5. Step 5: Solve for x
    x = 27,534,572,024.36/189,931.23
  6. Step 6: Final answer
    x = 144,971.27

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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.