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Finding the Fourth Proportional to 153,130, 229,741.59 and 78,302.68

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Solution

The fourth proportional to 153,130, 229,741.59 and 78,302.68 is: 117,477.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,130 : 229,741.59 = 78,302.68 : x
  2. Step 2: Convert to fraction form
    153,130/229,741.59 = 78,302.68/x
  3. Step 3: Cross multiply
    153,130x = 229,741.59 × 78,302.68
  4. Step 4: Simplify right side
    153,130x = 17,989,382,204.46
  5. Step 5: Solve for x
    x = 17,989,382,204.46/153,130
  6. Step 6: Final answer
    x = 117,477.84

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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.