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Finding the Fourth Proportional to 260,075.55, 390,210.53 and 102,413.91

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Solution

The fourth proportional to 260,075.55, 390,210.53 and 102,413.91 is: 153,659.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,075.55 : 390,210.53 = 102,413.91 : x
  2. Step 2: Convert to fraction form
    260,075.55/390,210.53 = 102,413.91/x
  3. Step 3: Cross multiply
    260,075.55x = 390,210.53 × 102,413.91
  4. Step 4: Simplify right side
    260,075.55x = 39,962,985,588.40
  5. Step 5: Solve for x
    x = 39,962,985,588.40/260,075.55
  6. Step 6: Final answer
    x = 153,659.14

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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.