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Finding the Fourth Proportional to 319,288.96, 478,970.50 and 106,075.90

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Solution

The fourth proportional to 319,288.96, 478,970.50 and 106,075.90 is: 159,126.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,288.96 : 478,970.50 = 106,075.90 : x
  2. Step 2: Convert to fraction form
    319,288.96/478,970.50 = 106,075.90/x
  3. Step 3: Cross multiply
    319,288.96x = 478,970.50 × 106,075.90
  4. Step 4: Simplify right side
    319,288.96x = 50,807,225,133.14
  5. Step 5: Solve for x
    x = 50,807,225,133.14/319,288.96
  6. Step 6: Final answer
    x = 159,126.16

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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.