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Finding the Fourth Proportional to 119,020, 178,530.08 and 45,148

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Solution

The fourth proportional to 119,020, 178,530.08 and 45,148 is: 67,722.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,020 : 178,530.08 = 45,148 : x
  2. Step 2: Convert to fraction form
    119,020/178,530.08 = 45,148/x
  3. Step 3: Cross multiply
    119,020x = 178,530.08 × 45,148
  4. Step 4: Simplify right side
    119,020x = 8,060,276,051.84
  5. Step 5: Solve for x
    x = 8,060,276,051.84/119,020
  6. Step 6: Final answer
    x = 67,722.03

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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.